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The Modified Method of Characteristics for Compressible Flow in Porous Media

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Numerical Treatment of Multiphase Flows in Porous Media

Part of the book series: Lecture Notes in Physics ((LNP,volume 552))

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Abstract

Error estimates are derived for a finite element modified method of characteristics for a coupled system of partial differential equations modelling compressible flow in porous media. Some new techniques are introduced to conduct a convergence analysis. Optimal convergence rate is derived in the case of molecular diffusion and dispersion. One contribution of this paper is the demonstration of how molecular dispersion can be treated.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, Shandong University, Jinan, 250100, P. R. China

    Aijie Cheng & Gaohong Wang

Authors
  1. Aijie Cheng
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  2. Gaohong Wang
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Southern Methodist University, Box 750156, 75275-0156, Dallas, TX, USA

    Zhangxin Chen

  2. Institute for Scientific Computation, Texas A&M University, 77843-3404, College Station, TX, USA

    Richard E. Ewing

  3. Institute of ComputaTional Mathematics, Chinese Academy of Sciences, P.O.Box 2719, 100080, Beijing, P.R.China

    Zhong-Ci Shi

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© 2000 Springer-Verlag Berlin Heidelberg

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Cheng, A., Wang, G. (2000). The Modified Method of Characteristics for Compressible Flow in Porous Media. In: Chen, Z., Ewing, R.E., Shi, ZC. (eds) Numerical Treatment of Multiphase Flows in Porous Media. Lecture Notes in Physics, vol 552. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45467-5_5

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  • DOI: https://doi.org/10.1007/3-540-45467-5_5

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67566-2

  • Online ISBN: 978-3-540-45467-0

  • eBook Packages: Springer Book Archive

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